Weak subsolutions to complex Monge-Ampere equations

被引：4

作者：

Guedj, Vincent ^{[1
]}

Lu, Chinh H. ^{[2
]}

Zeriahi, Ahmed ^{[1
]}

机构：

[1] Univ Toulouse, Inst Math Toulouse, CNRS, 118 Route Narbonne, F-31400 Toulouse, France

[2] Univ Paris Sud, CNRS, Univ Paris Saclay, Lab Math Orsay, F-91405 Orsay, France

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2019年 / 71卷 / 03期

关键词：

complex Mange-Ampere equation; weak subsolutions; pluripotential theory; VARIATIONAL APPROACH; DIRICHLET PROBLEM; VISCOSITY; STABILITY;

D O I：

10.2969/jmsj/79677967

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We compare various notions of weak subsolutions to degenerate complex Monge-Ampere equations, showing that they all coincide. This allows us to give an alternative proof of mixed Monge-Ampere inequalities due to Kolodziej and Dinew.

引用

页码：727 / 738

页数：12

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